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Simplifying 4(3x + 2) + -1(4 + -2x) = 0 Reorder the terms: 4(2 + 3x) + -1(4 + -2x) = 0 (2 * 4 + 3x * 4) + -1(4 + -2x) = 0 (8 + 12x) + -1(4 + -2x) = 0 8 + 12x + (4 * -1 + -2x * -1) = 0 8 + 12x + (-4 + 2x) = 0 Reorder the terms: 8 + -4 + 12x + 2x = 0 Combine like terms: 8 + -4 = 4 4 + 12x + 2x = 0 Combine like terms: 12x + 2x = 14x 4 + 14x = 0 Solving 4 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 14x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 0 + -4 14x = 0 + -4 Combine like terms: 0 + -4 = -4 14x = -4 Divide each side by '14'. x = -0.2857142857 Simplifying x = -0.2857142857
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